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+//Example 2.3
+clc
+clear
+
+function [root] = FalsePosition(fun,x,tol,maxit)
+// FalsePosition: Computes roots of the function in the given range using False Position Method
+//// Input: FalsePosition(fun,x,tol,maxit)
+// fun = function handle
+// x = range in between sign change is evident
+// tol = Maximum error between iterations that can be tolerated
+// maxit = Maximum number of iterations
+//// Output: [root]
+// Root: Root of the given function in defined range
+
+if fun(x(1)) > 0 then
+    xu = x(1);    xl = x(2);
+else
+    xu = x(2);    xl = x(1);
+end
+
+Ea = 1;
+iter = 1;
+
+while(1)
+    xr(iter) = xl(iter) - ((xu(iter)-xl(iter)) / (fun(xu(iter))-fun(xl(iter))) * fun(xl(iter)));
+    if fun(xr(iter)) > 0 then
+        xu(iter+1) = xr(iter);
+        xl(iter+1) = xl(iter);
+    elseif fun(xr(iter)) < 0 then
+        xl(iter+1) = xr(iter);
+        xu(iter+1) = xu(iter);
+    else
+        break
+    end
+    
+    if iter>1 then
+        Ea(iter) = 100 * abs((xr(iter) - xr(iter-1)) / xr(iter));
+    end
+   
+    if Ea(iter) < tol | iter == maxit then
+        break
+    end
+    iter = iter + 1;
+end
+root = xr(iter);
+endfunction
+
+function f = fun3(x)
+    f = log(x) - cos(x);
+endfunction
+
+x = [1 2];
+tol = 1e-4;
+maxit = 5;
+root = FalsePosition(fun3,x,tol,maxit);
+disp(round(root*10^4)/10^4,"root = ")